Liouville ergodicity of linear multi-particle hamiltonian system with one marked particle velocity flips

zbMATH Open1329.82065arXiv1503.04531MaRDI QIDQ3452090

A. A. Lykov, V. A. Malyshev

Publication date: 18 November 2015

Abstract: We consider multi-particle systems with linear deterministic hamiltonian dynamics. Besides Liouville measure it has continuum of invariant tori and thus continuum of invariant measures. But if one specified particle is subjected to a simple linear deterministic transformation (velocity flip) in random time moments, we prove convergence to Liouville measure for any initial state. For the proof it appeared necessary to study non-linear transformations on the energy surface.

Full work available at URL: https://arxiv.org/abs/1503.04531

zbMATH Keywords

Liouville measureconvergence to equilibriumnon-equilibrium statistical mechanics

Mathematics Subject Classification ID

Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Dynamical aspects of statistical mechanics (37A60)

Related Items (2)

On the kinetic temperature of a one-dimensional crystal on the long-time scale ⋮ Title not available (Why is that?)

This page was built for publication: Liouville ergodicity of linear multi-particle hamiltonian system with one marked particle velocity flips

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3452090)